Associate Professor in Theoretical Physics
School of Mathematics
+353 1 896 3945
MA22S3 Fourier Analysis for Science, Michaelmas 2017
Scattering amplitudes play a key role in high-energy physics. Not only do they describe the actual scattering taking place in collider experiments--of current importance in the era of the Large Hadron Collider (LHC)--but they also illuminate the formal aspects of quantum field theories, such as divergent behavior or integrability. Amplitudes are thus useful both practically and formally, but their availability is limited by the difficulty of computing them.
As the number of particles in the scattering process increases, or the perturbative expansion is carried out to higher order, the traditional technique of Feynman rules fails to be feasibly implementable. This difficulty has prompted the innovation of new techniques. Notable among these are on-shell techniques, in which the basic building blocks are complete amplitudes, rather than fundamental interactions. The on-shell framework has surpassed traditional Feynman diagram expansions, both in delivering new results and in expressing them in formulas that are not only compact, but also deeply illuminating. My research develops the on-shell framework to incorporate all theories and configurations of physical interest, building upon recent developments in pure mathematics.
ERC Consolidator Grant Project: Loop Amplitudes in Quantum Field Theory [CutLoops]
The European Research Council has awarded funding to work on computing multiloop amplitudes from their discontinuities, by examining the relations between generalized cuts and the Hopf algebra of multiple polylogarithms and then exploiting them to produce methods for calculation.
Full list of publications on INSPIRE
Lecture notes: Constructing scattering amplitudes
Review article: Loop amplitudes in gauge theories: modern analytic approaches